# 948

## 948 is an even composite number composed of three prime numbers multiplied together.

What does the number 948 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 12 divisors.

948 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of twelve divisors.

## Prime factorization of 948:

### 22 × 3 × 79

(2 × 2 × 3 × 79)

See below for interesting mathematical facts about the number 948 from the Numbermatics database.

### Names of 948

• Cardinal: 948 can be written as Nine hundred forty-eight.

### Scientific notation

• Scientific notation: 9.48 × 102

### Factors of 948

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 4
• Sum of prime factors: 84

### Divisors of 948

• Number of divisors d(n): 12
• Complete list of divisors:
• Sum of all divisors σ(n): 2240
• Sum of proper divisors (its aliquot sum) s(n): 1292
• 948 is an abundant number, because the sum of its proper divisors (1292) is greater than itself. Its abundance is 344

### Bases of 948

• Binary: 11101101002
• Base-36: QC

### Squares and roots of 948

• 948 squared (9482) is 898704
• 948 cubed (9483) is 851971392
• The square root of 948 is 30.7896086367
• The cube root of 948 is 9.8235722987

### Scales and comparisons

How big is 948?
• 948 seconds is equal to 15 minutes, 48 seconds.
• To count from 1 to 948 would take you about seven minutes.

This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)

• A cube with a volume of 948 cubic inches would be around 0.8 feet tall.

### Recreational maths with 948

• 948 backwards is 849
• The number of decimal digits it has is: 3
• The sum of 948's digits is 21
• More coming soon!